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Simplifying (m + -1n + k)(m + 3n + -6k) = 0 Reorder the terms: (k + m + -1n)(m + 3n + -6k) = 0 Reorder the terms: (k + m + -1n)(-6k + m + 3n) = 0 Multiply (k + m + -1n) * (-6k + m + 3n) (k(-6k + m + 3n) + m(-6k + m + 3n) + -1n * (-6k + m + 3n)) = 0 ((-6k * k + m * k + 3n * k) + m(-6k + m + 3n) + -1n * (-6k + m + 3n)) = 0 Reorder the terms: ((km + 3kn + -6k2) + m(-6k + m + 3n) + -1n * (-6k + m + 3n)) = 0 ((km + 3kn + -6k2) + m(-6k + m + 3n) + -1n * (-6k + m + 3n)) = 0 (km + 3kn + -6k2 + (-6k * m + m * m + 3n * m) + -1n * (-6k + m + 3n)) = 0 Reorder the terms: (km + 3kn + -6k2 + (-6km + 3mn + m2) + -1n * (-6k + m + 3n)) = 0 (km + 3kn + -6k2 + (-6km + 3mn + m2) + -1n * (-6k + m + 3n)) = 0 (km + 3kn + -6k2 + -6km + 3mn + m2 + (-6k * -1n + m * -1n + 3n * -1n)) = 0 (km + 3kn + -6k2 + -6km + 3mn + m2 + (6kn + -1mn + -3n2)) = 0 Reorder the terms: (km + -6km + 3kn + 6kn + -6k2 + 3mn + -1mn + m2 + -3n2) = 0 Combine like terms: km + -6km = -5km (-5km + 3kn + 6kn + -6k2 + 3mn + -1mn + m2 + -3n2) = 0 Combine like terms: 3kn + 6kn = 9kn (-5km + 9kn + -6k2 + 3mn + -1mn + m2 + -3n2) = 0 Combine like terms: 3mn + -1mn = 2mn (-5km + 9kn + -6k2 + 2mn + m2 + -3n2) = 0 Solving -5km + 9kn + -6k2 + 2mn + m2 + -3n2 = 0 Solving for variable 'k'. The solution to this equation could not be determined.
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